real number

The concept of 'real numbers' is fundamental in mathematics, representing all possible magnitudes along a continuous line, including both rational and irrational numbers.

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Definition

B2Mathematics

(technical, academic)Any value that can be represented on a continuous number line, including both rational numbers (like fractions and integers) and irrational numbers (like non-repeating, non-terminating decimals).

Example

  • The numbers 3, -1.5, and Ο€ are all real numbers.
  • Real numbers can be visualized as points on an infinitely long line.

C1Computing

(technical)A number that can be represented as a floating-point value in computer systems.

Example

  • In many programming languages, real numbers are handled using floating-point arithmetic.
  • The variable was defined to store real numbers to accommodate both integer and fractional values.

Similar

Terms that have similar or relatively close meanings to "real number":

rational numbersfloating-point numberimaginary numbernatural numberround numberdual numberfractional number